A Normalization of the Structure Equations for Implicit Second-Order PDE

In the present paper, we focus on the structure equations of implicit second-order PDEs for one unknown function of two independent variables under a regularity condition. In particular, we present an approach to obtain adapted local coframes which describe the normal forms of the structure equations.

Authors

Takahiro Noda
Kazuhiro Shibuya
Koichi Takeuchi

Publication Details

Journal: Institutional Repositories DataBase (IRDB)
Published: 2026-03-31
DOI: https://doi.org/10.18997/0002002358
Primary Topic: Numerical methods for differential equations
Type: article
Field-Weighted Citation Impact: 0.00

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article

A Normalization of the Structure Equations for Implicit Second-Order PDE

Takahiro Noda, Kazuhiro Shibuya, Koichi Takeuchi

Mar 31, 2026

Institutional Repositories DataBase (IRDB)

Numerical methods for differential equations

article

A Normalization of the Structure Equations for Implicit Second-Order PDE

Takahiro Noda, Kazuhiro Shibuya, Koichi Takeuchi

March 31, 2026article en

Abstract

Institutional Repositories DataBase (IRDB)Vol. 73

Openalex Percentile: Top 23%

Numerical methods for differential equations

DOI Open Access PDF OpenAlex

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A Normalization of the Structure Equations for Implicit Second-Order PDE — Takahiro Noda, Kazuhiro Shibuya, et al. · Institutional Repositories DataBase (IRDB) (2026) | TGRS Research Map | TGRS